Tohoku Mathematical Journal
2010
September
SECOND SERIES VOL. 62, NO. 3

Tohoku Math. J.
62 (2010), 393-400

Title JACOBI FIELDS AND THE STABILITY OF MINIMAL FOLIATIONS OF ARBITRARY CODIMENSION

Author Krzysztof Andrzejewski

(Received December 17, 2009, revised February 25, 2010)
Abstract. In this article, we investigate the stability of leaves of minimal foliations of arbitrary codimension. We also study relations between Jacobi fields and vector fields which preserve a foliation, and we apply these results to Killing fields.

2000 Mathematics Subject Classification. Primary 53C12; Secondary 53C42.
Key words and phrases. Minimal foliations, mean curvature, Jacobi field, Killing field.

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